Question
In: Advanced Math
1. Let M denote set of m&ms in a bag. This consist of red, yellow, green,...
1. Let M denote set of m&ms in a bag. This consist of red, yellow, green, blue and brown candies.
a. Device on equivalence relation on M.
b. Define relation R on M by: aRb if and only if either: a is green or b is blue, or, a is yellow abd b is not yellow. Is R symmetric, reflexive, transitive or anti-symmetric? Explain.
2. On set Zx(Z not including {0}) define relation R (a,b) a,b e Z, b#0 as follows:(a,b) R (c,d) if and only if ad=bc. Prove that R is an equivalence relation.
Solutions
Colby Messinger answered 1 year agoRelated Solutions
Consider the following dataset: x1 Yellow Yellow Green Green Red Red Green Red Yellow x2 5...
Consider the following dataset:
x1 Yellow Yellow Green Green Red Red Green Red Yellow
x2 5 2 10 4 3 7 2 5 4
y 1 3 7 5 10 18 4 8 3
(a) (3pts) Split the data into a train and test set where the
test set contains observations 1 and 7. Answer this by writing down
the two datasets.
(b) (2pts) Use Rstudio to estimate a model (which uses both x1
and x2 as predictor variables) using...
Suppose you have a bag of M&Ms with 19 M&Ms. Suppose 4 of them are red,...
Suppose you have a bag of M&Ms with 19 M&Ms. Suppose 4
of them are red, 3 are green, and 12 are yellow.
(a) If one M&M is chosen at random from the bag, find the
probability that it is yellow.
(b) If one M&M is chosen at random from the bag, and eaten, and
then a second M&M is chosen at random from the bag, find the
probability that they are both red.
A bag contains 4 red and 5 green balls. Let X denotes number of red and...
A
bag contains 4 red and 5 green balls. Let X denotes number of red
and Y denotes number of green balls in 2 drawn from the bag by
random. Find joint probability distribution, compute E(x), E(Y) and
correlation coefficient.
Statistics problem A bowl has 10 green M&Ms, 11 blue M&M's, 9 yellow M&Ms, and 13...
Statistics problem
A bowl has 10 green M&Ms, 11 blue M&M's, 9 yellow
M&Ms, and 13 brown M&Ms. If you pick 7 M&Ms, find the
following probability of the following events. It is not necessary
for you to complete the calculations.
a) Getting 5 blue M&Ms
b) Getting 5 green M&Ms
c) Getting 3 blue M&Ms and 4 green M&Ms
d) Getting no blue M&Ms
Bag Blue Orange Green Yellow Red Brown Total Number of Candies 1 9 13 14 10...
Bag
Blue
Orange
Green
Yellow
Red
Brown
Total Number of Candies
1
9
13
14
10
7
7
60
2
13
10
6
9
9
8
55
3
13
12
4
10
9
6
54
4
16
13
8
6
6
8
57
5
10
10
12
5
15
4
56
6
9
18
3
6
12
12
60
7
11
13
6
15
8
6
59
8
12
18
5
9
6
5
55
9
12
10
8
15...
Bag Blue Orange Green Yellow Red Brown Total Number of Candies 1 9 13 14 10...
Bag
Blue
Orange
Green
Yellow
Red
Brown
Total Number of Candies
1
9
13
14
10
7
7
60
2
13
10
6
9
9
8
55
3
13
12
4
10
9
6
54
4
16
13
8
6
6
8
57
5
10
10
12
5
15
4
56
6
9
18
3
6
12
12
60
7
11
13
6
15
8
6
59
8
12
18
5
9
6
5
55
9
12
10
8
15...
A bag contains two red marbles, four green ones, one transparent one, two yellow ones, and...
A bag contains two red marbles, four green ones, one transparent
one, two yellow ones, and three orange ones. You select three at
random. Compute the probability of the given event. (Enter your
probability as a fraction.)
At least one is not red.
Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8 red balls...
Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8
red balls and 4 green balls. Bag 3 contains 5 red balls and 11
green balls. Bag 1 is chosen twice as often as either Bag 2 or Bag
3 (which have the same probability of being chosen). After a bag is
chosen, a ball is chosen at random from that bag. Calculate the
probability that:
a) a red ball is chosen
b) a red ball...
B = {red,red,green,purple} C = {red,{green},red,{red,green},purple,{green,green,red,purple}} A.) What is the power set of C? B.) Is...
B = {red,red,green,purple}
C =
{red,{green},red,{red,green},purple,{green,green,red,purple}}
A.) What is the power set of C?
B.) Is B ∈ P(C)?
The distribution of M&M colors is 24% blue, 20% orange, 16% green, 14% yellow, 13% red,...
The distribution of M&M colors is 24% blue, 20% orange, 16%
green, 14% yellow, 13% red, and 13% brown.
You have a small bag of M&M's and count the colors. Your bag
has 9 blue, 9 orange, 4 green, 12 yellow, 3 red, and 6 brown
M&M's.
Before you begin, how many M&M's do you need in your sample
(minimum) to be able to do this test? Remember, your assumption for
chi-square is that every expected frequency has at least...
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